{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## K-Means\n",
    "This notebook will start by covering how K-Means works, how to use K-Means clustering in Python, common metric to evaluate how good the clustering is, and some strengths and weaknesses of K-Means. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### What is K-Means Clustering"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "K-means clustering is a popular centroid-based clustering algorithm. In k-means clustering, k refers to the number of user specified clusters.\n",
    "\n",
    "Here is roughly how K-Means works:\n",
    "1. Start with k initial (random) points (centroids)\n",
    "2. Assign each datapoint to a cluster by finding its \"closest\" centroid.\n",
    "3. Update centroids. This is done by recalculating each centroid's location as the mean (center) of all the points assigned to its cluster. \n",
    "4. Repeat 2-4 until the centroids stop moving or until the points stop switching clusters.\n",
    "\n",
    "\\* There are a number of techniques for choosing initial points. `k-means++` algorithm which scikit-learn uses by default makes the intial centroids a bit more smartly selected. \n",
    "\n",
    "[example](https://www.naftaliharris.com/blog/visualizing-k-means-clustering/)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "# For scaling data\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "# Dataset import\n",
    "from sklearn.datasets import load_iris\n",
    "\n",
    "# Model imports\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.datasets import make_blobs\n",
    "\n",
    "from sklearn import metrics\n",
    "from sklearn.metrics import silhouette_score\n",
    "from sklearn import cluster, datasets"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Load Data\n",
    "The Iris dataset is one of datasets scikit-learn comes with that do not require the downloading of any file from some external website. The code below loads the iris dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sepal length (cm)</th>\n",
       "      <th>sepal width (cm)</th>\n",
       "      <th>petal length (cm)</th>\n",
       "      <th>petal width (cm)</th>\n",
       "      <th>target</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>5.1</td>\n",
       "      <td>3.5</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4.9</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>4.7</td>\n",
       "      <td>3.2</td>\n",
       "      <td>1.3</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4.6</td>\n",
       "      <td>3.1</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3.6</td>\n",
       "      <td>1.4</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   sepal length (cm)  sepal width (cm)  petal length (cm)  petal width (cm)  \\\n",
       "0                5.1               3.5                1.4               0.2   \n",
       "1                4.9               3.0                1.4               0.2   \n",
       "2                4.7               3.2                1.3               0.2   \n",
       "3                4.6               3.1                1.5               0.2   \n",
       "4                5.0               3.6                1.4               0.2   \n",
       "\n",
       "   target  \n",
       "0       0  \n",
       "1       0  \n",
       "2       0  \n",
       "3       0  \n",
       "4       0  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = load_iris()\n",
    "df = pd.DataFrame(data.data, columns=data.feature_names)\n",
    "df['target'] = data.target\n",
    "y = df['target'].values\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot data to estimate correct number of clusters\n",
    "Sometimes you know how many clusters you want. This could be to knowing that you want to segment customers or if you know you have three flower species like in the iris dataset. One thing I want to mention is that in the iris dataset, we have four features, but only can graph two at a time easily "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(df['sepal length (cm)'], df['petal length (cm)'], s=50);\n",
    "\n",
    "# Add labels\n",
    "plt.xlabel('sepal length (cm)');\n",
    "plt.ylabel('petal length (cm)');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One thing I want to mention is that in the iris dataset, we have four features, but only can graph two at a time easily. We can try and graph multiple 2 dimensional plots like in the code below, but we can't get all of the features plotted at a time. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 20 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.pairplot(df[['sepal length (cm)', 'sepal width (cm)', 'petal length (cm)',\n",
    "       'petal width (cm)']]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Standardize Data\n",
    "Standardization of a dataset is a common requirement for many machine learning estimators: they might behave badly if the individual features do not more or less look like standard normally distributed data. You can standardize features by removing the mean and scaling to unit variance\n",
    "\n",
    "The standard score of a sample x is calculated as:\n",
    "\n",
    "z = (x - mean) / std\n",
    "\n",
    "The code below uses StandardScaler to accomplish this. \n",
    "\n",
    "<b>Preprocessing and scaling is an extremely important step when clustering in order to negative the huge affects outliers could have on clusters. </b>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = df[['petal length (cm)','petal width (cm)']]\n",
    "\n",
    "scaler = StandardScaler()\n",
    "X_scaled = scaler.fit_transform(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![standardized](images/BeforeAfterStandard.png)\n",
    "The image above shows standardization on a similar iris dataset (visualized as a pandas dataframe)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Cluster the Data with K-Means \n",
    "K-Means with three clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(n_clusters=3, random_state=1)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans = KMeans(n_clusters=3, random_state=1)\n",
    "kmeans.fit(X_scaled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "labels = kmeans.labels_\n",
    "centroids = kmeans.cluster_centers_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Visually Evaluate the Clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "colnames = ['petal length (cm)','petal width (cm)']\n",
    "\n",
    "df = pd.DataFrame(X_scaled, columns = colnames)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = pd.DataFrame(X_scaled, columns = colnames)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>petal length (cm)</th>\n",
       "      <th>petal width (cm)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-1.340227</td>\n",
       "      <td>-1.315444</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-1.340227</td>\n",
       "      <td>-1.315444</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-1.397064</td>\n",
       "      <td>-1.315444</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-1.283389</td>\n",
       "      <td>-1.315444</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-1.340227</td>\n",
       "      <td>-1.315444</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>145</th>\n",
       "      <td>0.819596</td>\n",
       "      <td>1.448832</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>146</th>\n",
       "      <td>0.705921</td>\n",
       "      <td>0.922303</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>147</th>\n",
       "      <td>0.819596</td>\n",
       "      <td>1.053935</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>148</th>\n",
       "      <td>0.933271</td>\n",
       "      <td>1.448832</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>149</th>\n",
       "      <td>0.762758</td>\n",
       "      <td>0.790671</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>150 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     petal length (cm)  petal width (cm)\n",
       "0            -1.340227         -1.315444\n",
       "1            -1.340227         -1.315444\n",
       "2            -1.397064         -1.315444\n",
       "3            -1.283389         -1.315444\n",
       "4            -1.340227         -1.315444\n",
       "..                 ...               ...\n",
       "145           0.819596          1.448832\n",
       "146           0.705921          0.922303\n",
       "147           0.819596          1.053935\n",
       "148           0.933271          1.448832\n",
       "149           0.762758          0.790671\n",
       "\n",
       "[150 rows x 2 columns]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "colormap = np.array(['r', 'g', 'b'])\n",
    "plt.scatter(df['petal length (cm)'], df['petal width (cm)'], c=colormap[labels])\n",
    "plt.xlabel('petal length (cm)')\n",
    "plt.ylabel('petal width (cm)');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Also Plot in the Centroids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "colormap = np.array(['r', 'g', 'b'])\n",
    "plt.scatter(df['petal length (cm)'], df['petal width (cm)'], c=colormap[labels])\n",
    "\n",
    "# Plotting the centroids\n",
    "plt.scatter(centroids[:,0], centroids[:,1], s = 300, marker = 'x', c = 'k')\n",
    "\n",
    "plt.xlabel('petal length (cm)')\n",
    "plt.ylabel('petal width (cm)');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Also Plot in the Centroids (make a YouTube Thumbnail)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Extracting centroids and labels\n",
    "centroids = kmeans.cluster_centers_\n",
    "labels = kmeans.labels_\n",
    "\n",
    "colormap = np.array(['r', 'g', 'b'])\n",
    "\n",
    "# Create figure and axes with specified size and white background\n",
    "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(16, 9), facecolor='white')\n",
    "\n",
    "# Scatter plot for each cluster\n",
    "for i in range(3):\n",
    "    ax.scatter(df.loc[labels == i, 'petal length (cm)'],\n",
    "               df.loc[labels == i, 'petal width (cm)'],\n",
    "               c=colormap[i],\n",
    "               s = 140,\n",
    "               alpha = .8,\n",
    "               label=f'Cluster {i + 1}')\n",
    "\n",
    "# Plotting the centroids\n",
    "ax.scatter(centroids[:, 0], centroids[:, 1], s=300, marker='x', c='k', linewidths=5, label='Centroids')\n",
    "\n",
    "ax.tick_params(labelsize = 18)\n",
    "\n",
    "# Setting the labels\n",
    "ax.set_xlabel('petal length (cm)', fontsize = 30)\n",
    "ax.set_ylabel('petal width (cm)', fontsize = 30)\n",
    "ax.set_title('K-Means Clustering of Iris Flowers', fontsize = 48)\n",
    "\n",
    "\n",
    "ax.legend(loc = 'lower right', markerscale = 1.0, fontsize = 24)\n",
    "fig.tight_layout()\n",
    "#fig.savefig('KMeans.png', dpi = 950)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Visually Evaluate the Clusters and Compare Species"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,4))\n",
    "\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.scatter(df['petal length (cm)'], df['petal width (cm)'], c=colormap[labels])\n",
    "plt.xlabel('petal length (cm)')\n",
    "plt.ylabel('petal width (cm)');\n",
    "plt.title('K-Means Classification')\n",
    " \n",
    "plt.subplot(1, 2, 2)\n",
    "plt.scatter(df['petal length (cm)'], df['petal width (cm)'], c=colormap[y], s=40)\n",
    "plt.xlabel('petal length (cm)')\n",
    "plt.ylabel('petal width (cm)');\n",
    "plt.title('Flower Species')\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "They look pretty similar. Looks like KMeans picked up flower differences with only two features and not the labels. The colors are different in the two graphs simply because KMeans gives out a arbitrary cluster number and the iris dataset has an arbitrary number in the target column. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Compute the Silhouette Score for your Clusters\n",
    "\n",
    "For clustering, we often use a metric called the **Silhouette Coefficient**. There are many other approaches, but this is a good place to start.\n",
    "\n",
    "The Silhouette Coefficient gives a score for each sample individually. At a high level, it compares the point's cohesion to its cluster against its separation from the nearest other cluster. Ideally, you want the point to be very nearby other points in its own cluster and very far points in the nearest other cluster.\n",
    "\n",
    "$$\\frac {b - a} {max(a,b)}$$\n",
    "\n",
    "- $a$ is the mean distance between a sample and all other points in the cluster.\n",
    "\n",
    "- $b$ is the mean distance between a sample and all other points in the nearest cluster.\n",
    "\n",
    "The coefficient ranges between 1 and -1. The larger the coefficient, the better the clustering.\n",
    "\n",
    "To get a score for all clusters rather than for a particular point, we average over all points to judge the cluster algorithm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6741313114151009"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "metrics.silhouette_score(X, labels, metric='euclidean')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### K-Means Potential Assumptions/Issues\n",
    "(This section of the notebook is largely taken from [dashee87](https://github.com/dashee87))\n",
    "\n",
    "A lot of times, people use an algorithm and assume it works under all circumstances, but that isn't the case. The gif below shows an ideal case of K-Means\n",
    "![KMeansGIF](images/KMeansGIF.gif)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Create Data\n",
    "You can ignore how these datasets are created since they are just used for illustrative purposes. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(844)\n",
    "clust1 = np.random.normal(5, 2, (1000,2))\n",
    "clust2 = np.random.normal(15, 3, (1000,2))\n",
    "clust3 = np.random.multivariate_normal([17,3], [[1,0],[0,1]], 1000)\n",
    "clust4 = np.random.multivariate_normal([2,16], [[1,0],[0,1]], 1000)\n",
    "dataset1 = np.concatenate((clust1, clust2, clust3, clust4))\n",
    "\n",
    "# we take the first array as the second array has the cluster labels\n",
    "dataset2 = datasets.make_circles(n_samples=1000, factor=.5, noise=.05)[0]\n",
    "\n",
    "# plot clustering output on the two datasets\n",
    "def cluster_plots(set1, set2, colours1 = 'gray', colours2 = 'gray', \n",
    "                  title1 = 'Dataset 1',  title2 = 'Dataset 2'):\n",
    "    fig,(ax1,ax2) = plt.subplots(1, 2)\n",
    "    fig.set_size_inches(6, 3)\n",
    "    ax1.set_title(title1,fontsize=14)\n",
    "    ax1.set_xlim(min(set1[:,0]), max(set1[:,0]))\n",
    "    ax1.set_ylim(min(set1[:,1]), max(set1[:,1]))\n",
    "    ax1.scatter(set1[:, 0], set1[:, 1],s=8,lw=0,c= colours1)\n",
    "    ax2.set_title(title2,fontsize=14)\n",
    "    ax2.set_xlim(min(set2[:,0]), max(set2[:,0]))\n",
    "    ax2.set_ylim(min(set2[:,1]), max(set2[:,1]))\n",
    "    ax2.scatter(set2[:, 0], set2[:, 1],s=8,lw=0,c=colours2)\n",
    "    fig.tight_layout()\n",
    "    plt.show()\n",
    "\n",
    "cluster_plots(dataset1, dataset2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Starting position of cluster centers"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "K-Means is sensitive to the starting position of the cluster centres, as each method converges to local optima, the frequency of which increase in higher dimensions. The gif below shows this issue.\n",
    "\n",
    "![KMeansGIF](images/KMeansBadGIF.gif)\n",
    "\n",
    "k-means clustering in scikit offers several extensions to the traditional approach. To prevent the alogrithm returning sub-optimal clustering, the kmeans method includes the `n_init` and `method` parameters. The former just reruns the algorithm with n different initialisations and returns the best output (measured by the within cluster sum of squares). By setting the latter to 'kmeans++' (the default), the initial centers are smartly selected (i.e. better than random). This has the additional benefit of decreasing runtime (less steps to reach convergence).\n",
    "means_assumptions.html)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### k is the correct number of clusters.\n",
    "While the example below may make it seem obvious for some, choosing k is difficult. \n",
    "\n",
    "How do we choose k? \n",
    "Finding the correct k to use for k-means clustering is not a simple task.\n",
    "\n",
    "We do not have a ground-truth we can use, so there isn't necessarily a \"correct\" number of clusters. However, we can find metrics that try to quantify the quality of our groupings.\n",
    "\n",
    "Our application is also an important consideration. For example, during customer segmentation we want clusters that are large enough to be targetable by the marketing team. In that case, even if the most natural-looking clusters are small, we may try to group several of them together so that it makes financial sense to target those groups.\n",
    "\n",
    "Common approaches include:\n",
    "- Figuring out the correct number of clusters from previous experience.\n",
    "- Elbow method\n",
    "- If we're using clustering to improve performance on a supervised learning problem, then we can use our usual methods to test predictions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, '\"Incorrect\" Number of Blobs')"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(4, 4))\n",
    "\n",
    "n_samples = 1500\n",
    "random_state = 170\n",
    "X, y = make_blobs(n_samples=n_samples, random_state=random_state)\n",
    "\n",
    "# Incorrect number of clusters\n",
    "y_pred = KMeans(n_clusters=2, random_state=random_state).fit_predict(X)\n",
    "\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "plt.title(\"\\\"Incorrect\\\" Number of Blobs\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### The data is isotropically distributed (circular/spherical distribution). Clusters are roughly the same size.\n",
    "\n",
    "In the images below, K-Means performs quite well on ``Dataset1``, but fails miserably on ``Dataset2``. In fact, these two datasets illustrate the strenghts and weaknesses of k-means. The algorithm seeks and identifies globular (essentially spherical) clusters. If this assumption doesn't hold, the model output may be inadaquate (or just really bad). It doesn't end there; k-means can also underperform with clusters of different size and density."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# implementing k-means clustering\n",
    "kmeans_dataset1 = cluster.KMeans(n_clusters=4, max_iter=300, \n",
    "                                 init='k-means++',n_init=10).fit_predict(dataset1)\n",
    "kmeans_dataset2 = cluster.KMeans(n_clusters=2, max_iter=300, \n",
    "                                 init='k-means++',n_init=10).fit_predict(dataset2)\n",
    "cluster_plots(dataset1, dataset2, \n",
    "              kmeans_dataset1, kmeans_dataset2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### The variance is the same for each variable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Unequal Variance')"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(4, 4))\n",
    "\n",
    "n_samples = 1500\n",
    "random_state = 170\n",
    "X, y = make_blobs(n_samples=n_samples, random_state=random_state)\n",
    "\n",
    "\n",
    "# Different variance\n",
    "X_varied, y_varied = make_blobs(n_samples=n_samples,\n",
    "                                cluster_std=[1.0, 2.5, 0.5],\n",
    "                                random_state=random_state)\n",
    "y_pred = KMeans(n_clusters=3, random_state=random_state).fit_predict(X_varied)\n",
    "\n",
    "\n",
    "plt.scatter(X_varied[:, 0], X_varied[:, 1], c=y_pred)\n",
    "plt.title(\"Unequal Variance\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For all its faults, the enduring popularity of k-means (and related algorithms) stems from its versatility. Its average complexity is O(knT), where k,n and T are the number of clusters, samples and iterations, respectively. As such, it's considered one of the fastest clustering algorithms out there. And in the world of big data, this matters."
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
